Search a number
-
+
46112320464 = 24372915433067
BaseRepresentation
bin101010111100100000…
…100010101111010000
311102000122110120212220
4222330200202233100
51223414223223324
633103403021040
73221464154040
oct527440425720
9142018416786
1046112320464
1118613225961
128b2ab0a780
13446b4b6932
142336297720
1512ed409b79
hexabc822bd0

46112320464 has 160 divisors (see below), whose sum is σ = 140972881920. Its totient is φ = 12708251136.

The previous prime is 46112320451. The next prime is 46112320469. The reversal of 46112320464 is 46402321164.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46112320469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15033459 + ... + 15036525.

It is an arithmetic number, because the mean of its divisors is an integer number (881080512).

Almost surely, 246112320464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46112320464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70486440960).

46112320464 is an abundant number, since it is smaller than the sum of its proper divisors (94860561456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46112320464 is a wasteful number, since it uses less digits than its factorization.

46112320464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 46112320464 in words is "forty-six billion, one hundred twelve million, three hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1543 1624 2436 3067 3086 3248 4629 4872 6134 6172 9201 9258 9744 10801 12268 12344 18402 18516 21469 21602 24536 24688 32403 36804 37032 42938 43204 44747 49072 64407 64806 73608 74064 85876 86408 88943 89494 128814 129612 134241 147216 171752 172816 177886 178988 257628 259224 266829 268482 313229 343504 355772 357976 515256 518448 533658 536964 622601 626458 711544 715952 939687 1030512 1067316 1073928 1245202 1252916 1423088 1867803 1879374 2134632 2147856 2490404 2505832 3735606 3758748 4269264 4732381 4980808 5011664 7471212 7517496 9464762 9961616 14197143 14942424 15034992 18929524 28394286 29884848 33126667 37859048 56788572 66253334 75718096 99380001 113577144 132506668 137239049 198760002 227154288 265013336 274478098 397520004 411717147 530026672 548956196 795040008 823434294 960673343 1097912392 1590080016 1646868588 1921346686 2195824784 2882020029 3293737176 3842693372 5764040058 6587474352 7685386744 11528080116 15370773488 23056160232 46112320464